Perhaps you are not a strong introvert, but more balanced than you realize.
For example if you took a test which measures your introversion vs extroversion it could show
that you are not all introvert but have a higher level of extroversion than you thought.
However even strong introverts like myself can extrovert themselves to perform job duties or hobbies
that they love. For example, I was a therapist, so able to keep most of my interaction to one on one
or small family groups.
But I love to teach and taught college classes which I loved. I also have hobbies
that took me into small groups. Book clubs, cards, etc.
So the introvert can do it and may even enjoy it. The difference is that for an introvert it costs them.
They are going to need down time to recharge. Whereas an extrovert gets their batteries charged by
being around people.
So you are not weird at all, but quite normal for an introvert who has learned to extrovert themselves for job
or hobbies.
Introverts make up about 30% of the population so we are seen as unusual, but not rare. However being an introvert is not abnormal or unhealthy, it is just a normal variation in the population.